Infinitesimal characterization of almost Hermitian homogeneous spaces
Console, Sergio ; Nicolodi, Lorenzo
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 713-721 / Harvested from Czech Digital Mathematics Library
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In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer $k_H$, the covariant derivatives of the curvature tensor up to order $k_H+2$ and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.

Publié le : 1999-01-01
Classification:  53C30,  53C55 
@article{119125,
     author = {Sergio Console and Lorenzo Nicolodi},
     title = {Infinitesimal characterization of almost Hermitian homogeneous spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {713-721},
     zbl = {1020.53031},
     mrnumber = {1756547},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119125}
}

Console, Sergio; Nicolodi, Lorenzo. Infinitesimal characterization of almost Hermitian homogeneous spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 713-721. http://gdmltest.u-ga.fr/item/119125/

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